To find the volume of a cone, we use the formula V = (1/3)πr^2h, where r is the radius of the circular base and h is the height of the cone.
From the given information, we know that the height of the cone is 13 inches. To find the radius, we can use the Pythagorean theorem:
r^2 = (8 inches)^2 + (13 inches)^2
r^2 = 64 + 169
r^2 = 233
r ≈ 15.26 inches
Now we can plug in these values into the formula:
V = (1/3)π(15.26 inches)^2(13 inches)
V ≈ 1,307 in.3
Therefore, the answer is B. 1,307 in.3 to the nearest whole unit.
What is the volume of the cone to the nearest whole unit?
A cone is shown. A dashed line from the edge to the center of the circular base is labeled 8 inches. A dashed line extends upward from the center of the circle to the vertex of the cone at a height of 13 inches. A small square is located at the intersection of the dashed lines.
A. 871 in.3
B. 1,307 in.3
C. 1,415 in.3
D. 2,614 in.3
1 answer